Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 525, 854, 997 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 525, 854, 997 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 525, 854, 997 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 525, 854, 997 is 1.
HCF(525, 854, 997) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 525, 854, 997 is 1.
Step 1: Since 854 > 525, we apply the division lemma to 854 and 525, to get
854 = 525 x 1 + 329
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 329 and 525, to get
525 = 329 x 1 + 196
Step 3: We consider the new divisor 329 and the new remainder 196, and apply the division lemma to get
329 = 196 x 1 + 133
We consider the new divisor 196 and the new remainder 133,and apply the division lemma to get
196 = 133 x 1 + 63
We consider the new divisor 133 and the new remainder 63,and apply the division lemma to get
133 = 63 x 2 + 7
We consider the new divisor 63 and the new remainder 7,and apply the division lemma to get
63 = 7 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 525 and 854 is 7
Notice that 7 = HCF(63,7) = HCF(133,63) = HCF(196,133) = HCF(329,196) = HCF(525,329) = HCF(854,525) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 997 > 7, we apply the division lemma to 997 and 7, to get
997 = 7 x 142 + 3
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get
7 = 3 x 2 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 997 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(997,7) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 525, 854, 997?
Answer: HCF of 525, 854, 997 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 525, 854, 997 using Euclid's Algorithm?
Answer: For arbitrary numbers 525, 854, 997 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.